Q: What are the prime factors of the number 24,552,234?

 A: 2, 3, 7, 1031

Why are those the prime factors of the number 24,552,234?

Prime factors are the prime numbers that can be multipled together to equal the original number. You find the factors by dividing by prime numbers. It is best shown by creating a Factor Tree.

Factor Tree for the number 24,552,234

24,552,234
Factor Arrows
212,276,117
Factor Arrows
34,092,039
Factor Arrows
31,364,013
Factor Arrows
3454,671
Factor Arrows
3151,557
Factor Arrows
350,519
Factor Arrows
77,217
Factor Arrows
71,031

The numbers in bold above are the prime factors. If there are multiples, you only count them one time. This leads us to our prime factors of:

2, 3, 7, 1031

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 3 x 3 x 3 x 7 x 7 x 1,031 = 24,552,234

This can also be written as 21 x 35 x 72 x 1,0311 = 24,552,234

If you would like to know more, or need additional explanation, please review our prime factorization explanation.


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